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Simplifying (4y + 1) + -1(6y + 9) = 14 Reorder the terms: (1 + 4y) + -1(6y + 9) = 14 Remove parenthesis around (1 + 4y) 1 + 4y + -1(6y + 9) = 14 Reorder the terms: 1 + 4y + -1(9 + 6y) = 14 1 + 4y + (9 * -1 + 6y * -1) = 14 1 + 4y + (-9 + -6y) = 14 Reorder the terms: 1 + -9 + 4y + -6y = 14 Combine like terms: 1 + -9 = -8 -8 + 4y + -6y = 14 Combine like terms: 4y + -6y = -2y -8 + -2y = 14 Solving -8 + -2y = 14 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -2y = 14 + 8 Combine like terms: -8 + 8 = 0 0 + -2y = 14 + 8 -2y = 14 + 8 Combine like terms: 14 + 8 = 22 -2y = 22 Divide each side by '-2'. y = -11 Simplifying y = -11
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